Answer:
21
Explanation:
You want the length of segment AB, given similar triangles AEB and ADC with AE=14, ED=12, and BC=18.
Similar triangles
Corresponding sides (or segments) of similar triangles are proportional:
AB/AE = BC/ED
AB = AE·BC/ED = 14·18/12 = 14·3/2
AB = 21